Question

Choose the correct answer from the alternatives given:
Study the following pie chart carefully to answer the questions that follow.
The sectorial angle made by the expenses of the family on education:

A) $45^\circ $
B) $60^\circ $
C) $90^\circ $
D) $120^\circ $

Answer 1

Hint: We will use the concept of pie chart and how the different expenses are distributed over $360^\circ $, to find the sectorial angle corresponding to the expenses on education.

Complete step by step answer:
Now, we need to find the sectorial angle for the expenses of the family on education.
So, total salary = Rs. 32000
% of salary spent on education
$
   = 25\% = \dfrac{{25}}{{100}} \\
   = \dfrac{1}{4} \\
 $
So money spent on Education
$
   = \dfrac{1}{4} \times 32000 \\
   = Rs.8000 \\
 $
Now, from the pie chart:
Rs 32000, which is the total salary makes up the whole pie chart that is $360^\circ $
Then, for Rs. 8000 spent of education by the family, it will make up
$
  \dfrac{{360^\circ }}{{32000}} \times 8000 \\
   = \dfrac{{360^\circ }}{4} \\
   = {90^ \circ } \\
 $
So, the expenses of money spent by the family on education, which is an amount of Rs. 8000 that is 25% of a total salary of Rs. 32000 makes a sectorial angle of ${90^ \circ }$.

Hence, the correct answer is option C.

Note: In a pie-chart, the total quantity is distributed over one complete angle that is, $360^\circ $. The portions are fractions of this complete angle. 25% of any quantity means $\dfrac{1}{4}th$ of the quantity. So, $\dfrac{1}{4}th$ of $360^\circ $ will be ${90^ \circ }$.